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Widths of some functional classes in the space L 2 on a period

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Abstract

In a space of periodic functions with mean-square norm, we find the values of widths for some functional classes given by means of a modulus of continuity generated by an arbitrary difference operator and a weight function.

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Authors and Affiliations

  1. Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, ul. S. Kovalevskoi 16, Yekaterinburg, 620990, Russia

    S. N. Vasil’ev

  2. Institute of Mathematics and Computer Science, Ural Federal University, pr. Lenina 51, Yekaterinburg, 620000, Russia

    S. N. Vasil’ev

Authors
  1. S. N. Vasil’ev
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Correspondence to S. N. Vasil’ev.

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Original Russian Text © S.N. Vasil’ev, 2013, published in Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2013, Vol. 19, No. 4.

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Vasil’ev, S.N. Widths of some functional classes in the space L 2 on a period. Proc. Steklov Inst. Math. 287 (Suppl 1), 202–207 (2014). https://doi.org/10.1134/S0081543814090193

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  • DOI: https://doi.org/10.1134/S0081543814090193

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